Surface gravity from tidal acceleration
arXiv:2307.12464 · doi:10.1140/epjp/s13360-023-04664-0
Abstract
Surface gravity plays a pivotal role in the characterization of black holes and also in formulating the laws of black hole thermodynamics. Despite its significance, defining surface gravity in general spacetimes is a nontrivial task and thus has multiple definitions that lack equivalence in dynamical scenarios. This paper reviews different notions of dynamical surface gravity and then proposes a new definition based on tidal acceleration, which is an alternative way of characterizing spacetime curvature. By integrating tidal acceleration from the horizon to infinity, we could retrieve surface gravity in familiar situations of Schwarzschild and Kerr spacetimes. We outline a generic procedure for calculating surface gravity and substantiate our proposal by investigating the surface gravity of stationary spacetimes and reproducing the results from the literature. Furthermore, we examine surface gravity in nonstationary spacetimes, with a focus on Vaidya spacetime as a model of evaporating black holes.
11 pages, 0 figure, Matches Published Version (available at https://rdcu.be/drBzS); Comments Welcome!
References in corpus (11)
- Noncommutative Black Hole Thermodynamics
- Minimal conditions for the existence of a Hawking-like flux
- Hawking-like radiation from evolving black holes and compact horizonless objects
- Dynamical surface gravity
- Graviton-Photon Scattering
- Surface gravity and Hawking temperature from entropic force viewpoint
- Surfaces away from horizons are not thermodynamic
- The volume of stationary black holes and the meaning of the surface gravity
- Horizon surface gravity as 2d geodesic expansion
- Light propagation in Kerr spacetime
- Surface Gravity of Dynamical Horizons: A Causal Perspective